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Finding the Third Proportional to 145,492 and 196,482

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Solution

The third proportional to 145,492 and 196,482 is: 265,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492 : 196,482 = 196,482 : x
  2. Step 2: Convert to fraction form
    145,492/196,482 = 196,482/x
  3. Step 3: Cross multiply
    145,492x = 196,482 × 196,482
  4. Step 4: Simplify right side
    145,492x = 38,605,176,324
  5. Step 5: Solve for x
    x = 38,605,176,324/145,492
  6. Step 6: Final answer
    x = 265,342.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.